10127268 has 84 divisors (see below), whose sum is σ = 27910848. Its totient is φ = 3207600.

The previous prime is 10127263. The next prime is 10127279. The reversal of 10127268 is 86272101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10127263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66993 + ... + 67143.

It is an arithmetic number, because the mean of its divisors is an integer number (332272).

Almost surely, 2^10127268 is an apocalyptic number.

10127268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955424).

10127268 is an abundant number, since it is smaller than the sum of its proper divisors (17783580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10127268 is a wasteful number, since it uses less digits than its factorization.

10127268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10127268 is about 3182.3368772020. The cubic root of 10127268 is about 216.3535875353.

Adding to 10127268 its reverse (86272101), we get a palindrome (96399369).

The spelling of 10127268 in words is "ten million, one hundred twenty-seven thousand, two hundred sixty-eight".